Systematic study of two-proton radioactivity with a screened electrostatic barrier

In this study, a phenomenological model is proposed based on Wentzel-Kramers-Brillouin (WKB) theory and applied to investigate the two-proton ( \begin{document}$2p$\end{document} ) radioactive half-lives of nuclei near or beyond the proton drip line. The total diproton-daughter nucleus interaction potential is composed of the Hulthen-type electrostatic term and the centrifugal term. The calculated \begin{document}$2p$\end{document} radioactive half-lives can accurately reproduce the existing 10 experimental datasets of five true \begin{document}$2p$\end{document} radioactive nuclei with σ = 0.736. In addition, we extend this model to predict the half-lives of possible \begin{document}$2p$\end{document} radioactive nuclei whose \begin{document}$2p$\end{document} radioactivity is energetically allowed or observed but not yet quantified in NUBASE2016. The predicted results are in agreement with those obtained using the Gamow-like model, generalized liquid drop model, Sreeja formula, and Liu formula.